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Finding the Third Proportional to 57,945 and 126,959

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Solution

The third proportional to 57,945 and 126,959 is: 278,170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,945 : 126,959 = 126,959 : x
  2. Step 2: Convert to fraction form
    57,945/126,959 = 126,959/x
  3. Step 3: Cross multiply
    57,945x = 126,959 × 126,959
  4. Step 4: Simplify right side
    57,945x = 16,118,587,681
  5. Step 5: Solve for x
    x = 16,118,587,681/57,945
  6. Step 6: Final answer
    x = 278,170.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.